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• W2016823453 abstract "Abstract The Perey-Buck approximation is studied, and corrections to it are discussed, for the physically interesting case in which both the wavelength and the range of the non-locality are small compared to the distances over which the wavelength and the interactions change appreciably. In one dimension the Perey-Buck formula is the leading term of an expansion in the spirit of WKB. Further terms in the expansion are defined and terms up to second order given explicitly (sect. 2). This expansion is equivalent to that of Perey and Saxon, but it displays the orders of magnitude of the terms more clearly (sect. 3). For three-dimensional problems with central symmetry the angular integration can be performed in the non-local form, and the approximation of sect. 2 applied to the radial equation (sect. 4). The approximation is tested numerically on two simple models resembling the n-α and n- 40 Ca interactions. In the latter case there is no significant difference between our approximation and that of Perey and Buck, both being satisfactory ; in the former case agreement is achieved only by taking into account the second-order corrections (sect. 5)." @default.
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• W2016823453 date "1980-07-01" @default.
• W2016823453 modified "2023-09-30" @default.
• W2016823453 title "Local approximation to a non-local potential" @default.
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• W2016823453 doi "https://doi.org/10.1016/0375-9474(80)90638-7" @default.
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